Atkin-Lehner |
2- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350s |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-108320668300 = -1 · 22 · 52 · 133 · 793 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9798,369551] |
[a1,a2,a3,a4,a6] |
Generators |
[558:1139:8] |
Generators of the group modulo torsion |
j |
-4161010187744905/4332826732 |
j-invariant |
L |
13.904184881472 |
L(r)(E,1)/r! |
Ω |
1.0520236883703 |
Real period |
R |
2.2027680293999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350o1 |
Quadratic twists by: 5 |